Asymptotic expansion of the critical point for oriented percolation in high dimensions

Noe Kawamoto

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arXiv · 2508.12299

Asymptotic expansion of the critical point for oriented percolation in high dimensions

Noe Kawamoto

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Abstract

We study an asymptotic expansion of the critical point for the nearest-neighbor oriented percolation on $\mathbb Z^d$ in powers of $d^{-1}$ as $d\rightarrow \infty$. The proof relies heavily on the lace expansion.

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Noe Kawamoto. 2025-08-17. Asymptotic expansion of the critical point for oriented percolation in high dimensions. https://arxiv.org/abs/2508.12299

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